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Introduction to Random Processes

Author: William A. Gardner
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 456

Book Description

Introduction to Random Processes

Author: William A. Gardner
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 456

Book Description

Introduction to the Theory of Random Processes

Author: Iosif Il?ich Gikhman
Publisher: Courier Corporation
ISBN: 0486693872
Category : Mathematics
Languages : en
Pages : 537

Book Description
Rigorous exposition suitable for elementary instruction. Covers measure theory, axiomatization of probability theory, processes with independent increments, Markov processes and limit theorems for random processes, more. A wealth of results, ideas, and techniques distinguish this text. Introduction. Bibliography. 1969 edition.

Introduction to Random Processes

Author: Yurii A. Rozanov
Publisher: Springer Science & Business Media
ISBN: 3642727174
Category : Mathematics
Languages : en
Pages : 127

Book Description
Today, the theory of random processes represents a large field of mathematics with many different branches, and the task of choosing topics for a brief introduction to this theory is far from being simple. This introduction to the theory of random processes uses mathematical models that are simple, but have some importance for applications. We consider different processes, whose development in time depends on some random factors. The fundamental problem can be briefly circumscribed in the following way: given some relatively simple characteristics of a process, compute the probability of another event which may be very complicated; or estimate a random variable which is related to the behaviour of the process. The models that we consider are chosen in such a way that it is possible to discuss the different methods of the theory of random processes by referring to these models. The book starts with a treatment of homogeneous Markov processes with a countable number of states. The main topic is the ergodic theorem, the method of Kolmogorov's differential equations (Secs. 1-4) and the Brownian motion process, the connecting link being the transition from Kolmogorov's differential-difference equations for random walk to a limit diffusion equation (Sec. 5).

Introduction to Random Processes

Author: E. Wong
Publisher: Springer Science & Business Media
ISBN: 1475717954
Category : Mathematics
Languages : en
Pages : 183

Book Description

Introduction to Random Processes

Author: William A. Gardner
Publisher: McGraw-Hill Companies
ISBN: 9780070228559
Category : Mathematics
Languages : en
Pages : 546

Book Description

Fundamentals of Applied Probability and Random Processes

Author: Oliver Ibe
Publisher: Academic Press
ISBN: 0128010355
Category : Mathematics
Languages : en
Pages : 456

Book Description
The long-awaited revision of Fundamentals of Applied Probability and Random Processes expands on the central components that made the first edition a classic. The title is based on the premise that engineers use probability as a modeling tool, and that probability can be applied to the solution of engineering problems. Engineers and students studying probability and random processes also need to analyze data, and thus need some knowledge of statistics. This book is designed to provide students with a thorough grounding in probability and stochastic processes, demonstrate their applicability to real-world problems, and introduce the basics of statistics. The book's clear writing style and homework problems make it ideal for the classroom or for self-study. Demonstrates concepts with more than 100 illustrations, including 2 dozen new drawings Expands readers’ understanding of disruptive statistics in a new chapter (chapter 8) Provides new chapter on Introduction to Random Processes with 14 new illustrations and tables explaining key concepts. Includes two chapters devoted to the two branches of statistics, namely descriptive statistics (chapter 8) and inferential (or inductive) statistics (chapter 9).

Introduction to Probability, Statistics, and Random Processes

Author: Hossein Pishro-Nik
Publisher:
ISBN: 9780990637202
Category : Probabilities
Languages : en
Pages : 746

Book Description
The book covers basic concepts such as random experiments, probability axioms, conditional probability, and counting methods, single and multiple random variables (discrete, continuous, and mixed), as well as moment-generating functions, characteristic functions, random vectors, and inequalities; limit theorems and convergence; introduction to Bayesian and classical statistics; random processes including processing of random signals, Poisson processes, discrete-time and continuous-time Markov chains, and Brownian motion; simulation using MATLAB and R.